Conduct the following test at the α=0.10level of significance by determining ​(a) the null and alternative​ hypotheses, ​(b) the test​ statistic, and​ (c) the​ P-value. Assume that the samples were obtained independently using simple random sampling.Test whether p1≠p2 Sample data are x1=28​, n1=254​, x2=38​, and n2=301.

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Conduct the following test at the α=0.10level of significance by determining ​(a) the null and alternative​ hypotheses, ​(b) the test​ statistic, and​ (c) the​ P-value. Assume that the samples were obtained independently using simple random sampling.Test whether p1≠p2 Sample data are x1=28​, n1=254​, x2=38​, and n2=301.
 
​(a) Determine the null and alternative hypotheses. Choose the correct answer below.
A. H0: p1=p2 versus H1: p1>p2
 
B. H0: p1=p2 versus H1: p1≠p2
 
C. H0: p1=0 versus H1: p1=0
 
D. H0: p1=p2 versus H1: p1<p2
 
​(b) The test statistic z0
is _____?
​(Round to two decimal places as​ needed.)
 
​(c) The​ P-value is
_____?
​(Round to three decimal places as​ needed.)
 
Test the null hypothesis. Choose the correct conclusion below.
A. Reject the null hypothesis because there is sufficient evidence to conclude that p1≠p2.
 
B.Reject the null hypothesis because there is not sufficient evidence to conclude that p1<p2.
 
C. Do not reject the null hypothesis because there is sufficient evidence to conclude that p1>p2.
 
D. Do not reject the null hypothesis because there is not sufficient evidence to conclude that p1≠p2.
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